What is the Least Common Multiple of 52334 and 52346?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 52334 and 52346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52334 and 52346, than apply into the LCM equation.

GCF(52334,52346) = 2
LCM(52334,52346) = ( 52334 × 52346) / 2
LCM(52334,52346) = 2739475564 / 2
LCM(52334,52346) = 1369737782

Least Common Multiple (LCM) of 52334 and 52346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52334 and 52346. First we will calculate the prime factors of 52334 and 52346.

Prime Factorization of 52334

Prime Factorization of 52346

Now multiplying the highest exponent prime factors to calculate the LCM of 52334 and 52346.

LCM(52334,52346) = 2¹ × 137¹ × 191¹ × 7¹ × 3739¹
LCM(52334,52346) = 1369737782